{"id":"https://openalex.org/W4385435137","doi":"https://doi.org/10.1007/978-3-031-38271-0_26","title":"A Categorical Approach to\u00a0Statistical Mechanics","display_name":"A Categorical Approach to\u00a0Statistical Mechanics","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4385435137","doi":"https://doi.org/10.1007/978-3-031-38271-0_26"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-38271-0_26","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-38271-0_26","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083609970","display_name":"Gr\u00e9goire Sergeant-Perthuis","orcid":"https://orcid.org/0000-0002-2079-3410"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I4403386633","display_name":"OURAGAN: Outils de R\u00e9solution Alg\u00e9briques pour la G\u00e9om\u00e9trie et ses Applications","ror":"https://ror.org/01rrvyp50","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I204730241","https://openalex.org/I3017942884","https://openalex.org/I39804081","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4403386633","https://openalex.org/I4405255748","https://openalex.org/I4405257605"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Gr\u00e9goire Sergeant-Perthuis","raw_affiliation_strings":["Inria Paris, OURAGAN, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Inria Paris, OURAGAN, Paris, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4403386633"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5083609970"],"corresponding_institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4403386633"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.39522399,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"258","last_page":"267"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9771000146865845,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9616000056266785,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/statistical-mechanics","display_name":"Statistical mechanics","score":0.7944636344909668},{"id":"https://openalex.org/keywords/categorical-variable","display_name":"Categorical variable","score":0.7718173265457153},{"id":"https://openalex.org/keywords/formalism","display_name":"Formalism (music)","score":0.6974984407424927},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5435873866081238},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5183178186416626},{"id":"https://openalex.org/keywords/category-theory","display_name":"Category theory","score":0.4940624535083771},{"id":"https://openalex.org/keywords/statistical-model","display_name":"Statistical model","score":0.45933571457862854},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3674757480621338},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3276306986808777},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20643827319145203},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.18611052632331848},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08731400966644287},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.0706765353679657}],"concepts":[{"id":"https://openalex.org/C99874945","wikidata":"https://www.wikidata.org/wiki/Q188715","display_name":"Statistical mechanics","level":2,"score":0.7944636344909668},{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.7718173265457153},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.6974984407424927},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5435873866081238},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5183178186416626},{"id":"https://openalex.org/C54884031","wikidata":"https://www.wikidata.org/wiki/Q217413","display_name":"Category theory","level":2,"score":0.4940624535083771},{"id":"https://openalex.org/C114289077","wikidata":"https://www.wikidata.org/wiki/Q3284399","display_name":"Statistical model","level":2,"score":0.45933571457862854},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3674757480621338},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3276306986808777},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20643827319145203},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.18611052632331848},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08731400966644287},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0706765353679657},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0},{"id":"https://openalex.org/C558565934","wikidata":"https://www.wikidata.org/wiki/Q2743","display_name":"Musical","level":2,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-38271-0_26","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-38271-0_26","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W185137928","https://openalex.org/W342302233","https://openalex.org/W1507653385","https://openalex.org/W1509567308","https://openalex.org/W2095539389","https://openalex.org/W2101786389","https://openalex.org/W2542898981","https://openalex.org/W2883495495","https://openalex.org/W2969875089","https://openalex.org/W3092734036","https://openalex.org/W3183693436","https://openalex.org/W4210839962","https://openalex.org/W4226051219","https://openalex.org/W4233702469","https://openalex.org/W4245734854"],"related_works":["https://openalex.org/W4386799044","https://openalex.org/W2773208253","https://openalex.org/W2560646951","https://openalex.org/W4297454206","https://openalex.org/W65104662","https://openalex.org/W1871748041","https://openalex.org/W2362286668","https://openalex.org/W2133382151","https://openalex.org/W3180855406","https://openalex.org/W2164569390"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-04T09:04:59.091469","created_date":"2025-10-10T00:00:00"}